## Abstract

Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we compute the eigenvalues.

Translated title of the contribution | Action of Hecke operators on Siegel theta series II |
---|---|

Original language | English |

Pages (from-to) | 981-1008 |

Number of pages | 28 |

Journal | International Journal of Number Theory |

Volume | 4 |

Issue number | 6 |

Publication status | Accepted/In press - 2007 |